55 ILCS 5/5-32029
If an appeal is taken on any part of such judgment and if the Committee elects to proceed with the improvement, notwithstanding such an appeal, the clerk shall certify the appealed portion, from time to time, in the manner above-mentioned, as the judgment is rendered thereon, and the warrant accompanying this certificate in each case shall be authority for the collection of so much of the assessment as is included in the portion of the roll thereto attached.
The warrant in all cases of assessment under this Division, shall contain a copy of the certificate of the judgment, describing lots, blocks, tracts and parcels of land assessed so far as they are contained in the portion of the roll so certified and shall state the respective amounts assessed on each lot, block, tract or parcel of land, and shall be delivered to the officer authorized to collect the special assessment. The collector having a warrant for any assessment levied to be paid by installments, may receive any or all of the installments of that assessment, but if he receives only a part of the installment, then he shall receive them in their numerical order.
55 ILCS 5/5-32029